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Finding the Fourth Proportional to 3,628.79, 5,006.23 and 2,369.41

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Solution

The fourth proportional to 3,628.79, 5,006.23 and 2,369.41 is: 3,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.79 : 5,006.23 = 2,369.41 : x
  2. Step 2: Convert to fraction form
    3,628.79/5,006.23 = 2,369.41/x
  3. Step 3: Cross multiply
    3,628.79x = 5,006.23 × 2,369.41
  4. Step 4: Simplify right side
    3,628.79x = 11,861,811.42
  5. Step 5: Solve for x
    x = 11,861,811.42/3,628.79
  6. Step 6: Final answer
    x = 3,268.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.